Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
4454	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6596	0.8946	0.7373	[M:[0.9155, 1.2536, 0.9155, 0.7464, 0.7464, 0.7113, 0.9155, 0.7464], q:[0.7289, 0.3556], qb:[0.3556, 0.3908], phi:[0.5423]]	[M:[[4], [-12], [4], [12], [12], [-10], [4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	-1	2*t^2.134 + 4*t^2.239 + 3*t^2.746 + t^3.359 + t^3.761 + t^3.866 + t^3.972 + 3*t^4.268 + 8*t^4.373 + 10*t^4.479 + 6*t^4.88 + 12*t^4.986 + 7*t^5.493 + 4*t^5.598 - t^6. + 6*t^6.105 + 4*t^6.211 + 4*t^6.402 + 10*t^6.507 + 20*t^6.613 + 23*t^6.718 + 6*t^7.014 + 19*t^7.12 + 29*t^7.225 + t^7.331 - 2*t^7.521 + 6*t^7.627 + 24*t^7.732 + 11*t^7.838 + t^7.943 - t^8.028 - 11*t^8.134 + 18*t^8.345 + 10*t^8.45 + 5*t^8.536 + 6*t^8.641 + 3*t^8.746 + 43*t^8.852 + 47*t^8.957 - t^4.627/y - t^6.761/y - (2*t^6.866)/y + t^7.268/y + (6*t^7.373)/y + (6*t^7.479)/y + (8*t^7.88)/y + (12*t^7.986)/y + (2*t^8.387)/y + (6*t^8.493)/y + (4*t^8.598)/y + t^8.895/y - t^4.627*y - t^6.761*y - 2*t^6.866*y + t^7.268*y + 6*t^7.373*y + 6*t^7.479*y + 8*t^7.88*y + 12*t^7.986*y + 2*t^8.387*y + 6*t^8.493*y + 4*t^8.598*y + t^8.895*y	(2*t^2.134)/g1^10 + 4*g1^12*t^2.239 + 3*g1^4*t^2.746 + g1^18*t^3.359 + t^3.761/g1^12 + g1^10*t^3.866 + g1^32*t^3.972 + (3*t^4.268)/g1^20 + 8*g1^2*t^4.373 + 10*g1^24*t^4.479 + (6*t^4.88)/g1^6 + 12*g1^16*t^4.986 + 7*g1^8*t^5.493 + 4*g1^30*t^5.598 - t^6. + 6*g1^22*t^6.105 + 4*g1^44*t^6.211 + (4*t^6.402)/g1^30 + (10*t^6.507)/g1^8 + 20*g1^14*t^6.613 + 23*g1^36*t^6.718 + (6*t^7.014)/g1^16 + 19*g1^6*t^7.12 + 29*g1^28*t^7.225 + g1^50*t^7.331 - (2*t^7.521)/g1^24 + (6*t^7.627)/g1^2 + 24*g1^20*t^7.732 + 11*g1^42*t^7.838 + g1^64*t^7.943 - t^8.028/g1^32 - (11*t^8.134)/g1^10 + 18*g1^34*t^8.345 + 10*g1^56*t^8.45 + (5*t^8.536)/g1^40 + (6*t^8.641)/g1^18 + 3*g1^4*t^8.746 + 43*g1^26*t^8.852 + 47*g1^48*t^8.957 - t^4.627/(g1^2*y) - t^6.761/(g1^12*y) - (2*g1^10*t^6.866)/y + t^7.268/(g1^20*y) + (6*g1^2*t^7.373)/y + (6*g1^24*t^7.479)/y + (8*t^7.88)/(g1^6*y) + (12*g1^16*t^7.986)/y + (2*t^8.387)/(g1^14*y) + (6*g1^8*t^8.493)/y + (4*g1^30*t^8.598)/y + t^8.895/(g1^22*y) - (t^4.627*y)/g1^2 - (t^6.761*y)/g1^12 - 2*g1^10*t^6.866*y + (t^7.268*y)/g1^20 + 6*g1^2*t^7.373*y + 6*g1^24*t^7.479*y + (8*t^7.88*y)/g1^6 + 12*g1^16*t^7.986*y + (2*t^8.387*y)/g1^14 + 6*g1^8*t^8.493*y + 4*g1^30*t^8.598*y + (t^8.895*y)/g1^22

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
5962	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$	0.6804	0.9357	0.7272	[M:[0.9159, 1.2522, 0.9159, 0.7478, 0.7478, 0.7101, 0.9159, 0.7478, 0.6725], q:[0.729, 0.3551], qb:[0.3551, 0.3928], phi:[0.542]]	t^2.017 + 2*t^2.13 + 4*t^2.243 + 3*t^2.748 + t^3.365 + t^3.757 + t^3.87 + t^4.035 + 2*t^4.148 + 7*t^4.261 + 8*t^4.374 + 10*t^4.487 + 3*t^4.765 + 6*t^4.878 + 12*t^4.991 + t^5.383 + 7*t^5.496 + 4*t^5.609 + t^5.774 + t^5.887 - t^6. - t^4.626/y - t^4.626*y	detail

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
2415	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6405	0.8589	0.7458	[M:[0.9178, 1.2467, 0.9178, 0.7533, 0.7533, 0.7056, 0.9178], q:[0.7294, 0.3528], qb:[0.3528, 0.4006], phi:[0.5411]]	2*t^2.117 + 3*t^2.26 + 3*t^2.753 + t^3.39 + 2*t^3.74 + t^3.883 + t^4.027 + 3*t^4.233 + 6*t^4.377 + 6*t^4.52 + 6*t^4.87 + 9*t^5.013 + 7*t^5.507 + 3*t^5.65 + 2*t^5.857 + t^6. - t^4.623/y - t^4.623*y	detail